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Simplifying 3(4w + 9) * 4 = -6 Reorder the terms: 3(9 + 4w) * 4 = -6 Reorder the terms for easier multiplication: 3 * 4(9 + 4w) = -6 Multiply 3 * 4 12(9 + 4w) = -6 (9 * 12 + 4w * 12) = -6 (108 + 48w) = -6 Solving 108 + 48w = -6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 48w = -6 + -108 Combine like terms: 108 + -108 = 0 0 + 48w = -6 + -108 48w = -6 + -108 Combine like terms: -6 + -108 = -114 48w = -114 Divide each side by '48'. w = -2.375 Simplifying w = -2.375
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